Relations Between Regularization and Diffusion Filtering
Journal of Mathematical Imaging and Vision
Computing optical flow via variational techniques
SIAM Journal on Applied Mathematics
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Image interpolation and resampling
Handbook of medical imaging
Edge Direction Preserving Image Zooming: A Mathematical and Numerical Analysis
SIAM Journal on Numerical Analysis
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International Journal of Computer Vision
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ACCV '95 Invited Session Papers from the Second Asian Conference on Computer Vision: Recent Developments in Computer Vision
Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Highly Accurate Optic Flow Computation with Theoretically Justified Warping
International Journal of Computer Vision
Fast Anisotropic Smoothing of Multi-Valued Images using Curvature-Preserving PDE's
International Journal of Computer Vision
Reversible Interpolation of Vectorial Images by an Anisotropic Diffusion-Projection PDE
International Journal of Computer Vision
A Geometric PDE for Interpolation of M-Channel Data
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Fast Dejittering for Digital Video Frames
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Deinterlacing with Motion-Compensated Anisotropic Diffusion
Statistical and Geometrical Approaches to Visual Motion Analysis
Inpainting by Flexible Haar-Wavelet Shrinkage
SIAM Journal on Imaging Sciences
Video dejittering by bake and shake
Image and Vision Computing
Vector-valued image interpolation by an anisotropic diffusion-projection PDE
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
A total variation motion adaptive deinterlacing scheme
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IEEE Transactions on Consumer Electronics
An Inpainting- Based Deinterlacing Method
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Deinterlacing Using Variational Methods
IEEE Transactions on Image Processing
High dynamic range imaging using coded electronic shutter
ACM SIGGRAPH 2013 Posters
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In this paper, for imaging applications, we introduce partial differential equations (PDEs), which allow for correcting displacement errors, for dejittering, and for deinterlacing, respectively, in multi-channel data. These equations are derived via semi-groups for non-convex energy functionals. As a particular example, for gray valued data, we find the mean curvature equation and the corresponding non-convex energy functional. As a further application for correction of displacement errors we study image interpolation, in particular zooming, of digital color images. For actual image zooming, the solutions of the proposed PDEs are projected onto a space of functions satisfying interpolation constraints. A comparison of the test results with standard and state-of-the-art interpolation algorithms shows the competitiveness of this approach.